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Quadratic Lagrange Interpolating Polynomials Examples 1

Recall from the Quadratic Lagrange Interpolating Polynomials page that given three points $(x_0, y_0)$, $(x_1, y_1)$, and $(x_2, y_2)$ where $x_0$, $x_1$, and $x_2$ are distinct numbers, then we can construct a quadratic interpolating polynomial $P_2$ of degree less than or equal to $2$ that interpolates these points where: